Compare 10/81 and 70/80
10/81 is smaller than 70/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 80 is 6480
Next, find the equivalent fraction of both fractional numbers with denominator 6480 - For the 1st fraction, since 81 × 80 = 6480,
10/81 = 10 × 80/81 × 80 = 800/6480 - Likewise, for the 2nd fraction, since 80 × 81 = 6480,
70/80 = 70 × 81/80 × 81 = 5670/6480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 800/6480 < 5670/6480 or 10/81 < 70/80
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